| Base | Representation |
|---|---|
| bin | 10100011111011011… |
| … | …00111000110100000 |
| 3 | 1001101200101101102010 |
| 4 | 22033231213012200 |
| 5 | 140012231024440 |
| 6 | 5015342152520 |
| 7 | 536421144600 |
| oct | 121755470640 |
| 9 | 31350341363 |
| 10 | 11001033120 |
| 11 | 4735884010 |
| 12 | 2170282740 |
| 13 | 10641c996c |
| 14 | 76509cc00 |
| 15 | 445be5580 |
| hex | 28fb671a0 |
11001033120 has 576 divisors, whose sum is σ = 44516449152. Its totient is φ = 2257920000.
The previous prime is 11001033107. The next prime is 11001033133. The reversal of 11001033120 is 2133010011.
11001033120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (11001033107) and next prime (11001033133).
It is a Harshad number since it is a multiple of its sum of digits (12).
It is a junction number, because it is equal to n+sod(n) for n = 11001033096 and 11001033105.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26130510 + ... + 26130930.
It is an arithmetic number, because the mean of its divisors is an integer number (77285502).
Almost surely, 211001033120 is an apocalyptic number.
11001033120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 11001033120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22258224576).
11001033120 is an abundant number, since it is smaller than the sum of its proper divisors (33515416032).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11001033120 is a wasteful number, since it uses less digits than its factorization.
11001033120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 565 (or 550 counting only the distinct ones).
The product of its (nonzero) digits is 18, while the sum is 12.
Adding to 11001033120 its reverse (2133010011), we get a palindrome (13134043131).
The spelling of 11001033120 in words is "eleven billion, one million, thirty-three thousand, one hundred twenty".
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